We have observed spatial confinement of laser light in micrometer-sized random media. The optical confinement is attributed to the disorder-induced scattering and interference. Our experimental data suggest that coherent amplification of the scattered light enhances the interference effect and helps the spatial confinement. Using the finite-difference time-domain method, we simulate lasing with...

We consider the homogenization of parabolic equations with large spatiallydependent potentials modeled as Gaussian random fields. We derive the homogenized equations in the limit of vanishing correlation length of the random potential. We characterize the leading effect in the random fluctuations and show that their spatial moments converge in law to Gaussian random variables. Both results hold...

Photonic and plasmonic quasicrystals, comprising well-designed and regularly-arranged patterns but lacking spatial translational symmetry, show sharp diffraction patterns resulting from their long-range order in spatial domain. Here we demonstrate that plasmonic structure, which is macroscopically arranged with spatial periodicity and microscopically constructed by random metal nanostructures, ...

background: various studies on prevalence of celiac disease in patients with irritable bowel syndrome in iran is available that chiefly, the prevalence of this disease and its association with several factors have been investigated. in order to gain a better perspective of iran and spread across the heterogeneity, all studies included in the systematic review, the findings were analyzed and use...

iron is an essential nutrients in rice. accurate assessment of this element in paddy soils is very important. improving fertility management, accurate interpolation, being aware of spatial variability and patterns of distribution of micronutrients are the most important factors in soil management and accurate consumption of fertilizers. this study was done for investigating of available iron, d...

In this article, we develop spatial–temporal generalized linear mixed models for spatial–temporal binary data observedon a spatial lattice and repeatedly over discrete timepoints. To account for spatial and temporal dependence, we introduce a spatial–temporal random effect in the link function and model by a diffusion–convection dynamic model. We propose a Bayesian hierarchical model for statis...